Low Temperature Physics: 47, 119 (2021); https://doi.org/10.1063/10.0003172
Fizika Nizkikh Temperatur: Volume 47, Number 2 (February 2021), p. 136-139    ( to contents , go back )

Calculation of relative dispersions of magnetization, susceptibility, and heat capacity in a two-dimensional weakly diluted Potts model based on computer simulation methods

A. K. Murtazaev1,2, A. B. Babaev1,3, G. Ya. Ataeva1, and A. A. Murtazaeva1,2

1H. Amirkhanov Institute of Physics of the Daghestan Federal Research Center of the Russian Academy of SciencesMakhachkala 367010, Russia

2Dagestan State University, Makhachkala 367025, Russia

3Department of Mathematics and Informatics, Dagestan Federal Scientific CenterRussian Academy of Sciences, Makhachkala, Russia
E-mail: akai2005@mail.ru
b_albert78@mail.ru

pos Анотація:798

Received March 26, 2020, revised September 21, 2020, published online December 25, 2020

Abstract

The Monte Carlo method was used to calculate the relative dispersions of the magnetization Rm, susceptibility Rχ,  and  heat  capacity  RС  for  a  weakly  diluted  impurity  Potts  model  with  the  number  of  spin  states  q = 4.  It  is  shown  that  the  introduction  of  disorder  in  the  form  of  nonmagnetic  impurities  into  the  two-dimensional  Potts  model with q = 4 on square lattice leads to nonzero values for Rm, Rχ, and RС at the critical point.

Key words: Monte Carlo method, Potts model, dispersion of the magnetization, susceptibility and heat capacity.

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